Submission #766444

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
766444	2023-06-25T16:19:28 Z	vjudge1	Tree Rotations (POI11_rot)	C++17	100 / 100	141 ms	11272 KB

//Bismillahir-Rahmanir-Rahim
 
# include <bits/stdc++.h>
 
# define pb push_back
# define ff first
# define ss second
# define nl "\n"
# define sz(x) ((int)(x).size())
# define all(x) (x).begin(), (x).end()
# define deb(x) cerr << #x  << " = " << x << endl; 
# define pll pair <ll, ll>
# define pii pair <int, int>
 
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
 
const ll maxn = 2e5 + 2;
const ll inf = 2e18 + 0;
const ll mod = 1e9 + 7;
const ll dx[] = {-1, 1, 0, 0};
const ll dy[] = {0, 0, -1, 1};
 
using namespace std;
 
int n, nv;
int L[maxn * 2];
int R[maxn * 2];
int sz[maxn * 2];
int cnt[maxn * 2];
ll t[maxn], ans;
 
void upd (int id, int x)
{
    for (; id < maxn; id += (id & (-id)))
    {
        t[id] += x;
    }
}
 
int get (int id)
{
    int res = 0;
    for (; id >= 1; id -= (id & (-id)))
    {
        res += t[id];
    }
    return res;
}
 
int rec ()
{
    int x; cin >> x;
    if (!x)
    {
        int v = ++nv;
        L[v] = rec ();
        R[v] = rec ();
        sz[v] = sz[L[v]] + sz[R[v]] + 1;
        cnt[v] = cnt[L[v]] + cnt[R[v]];
        return v;
    }
    sz[x] = 1, cnt[x] = 1;
    return x;
}
 
void add (int v)
{
    if (v <= n) upd(v, 1);
    else add(L[v]), add(R[v]);
}
 
void clr (int v)
{
    if (v <= n) upd(v, -1);
    else clr(L[v]), clr(R[v]);
}
 
ll calc (int v)
{
    if (v <= n) return get(v);
    return calc(L[v]) + calc(R[v]);
}
 
void dfs (int v = n + 1, bool keep = 1)
{
    if (v <= n)
    {
        add(v);
    }
    else
    {
        if (sz[L[v]] < sz[R[v]])
        {
            swap(L[v], R[v]);
        }
        dfs(R[v], 0);
        dfs(L[v], 1);
        ll inv = calc(R[v]);
      //  cout << v << ' ' << inv << ' ' << cnt[L[v]] << ' ' << cnt[R[v]] << nl;
        ans += min(1LL * inv, cnt[L[v]] * 1LL * cnt[R[v]] - inv);
        add(R[v]);
    }
    if (!keep)
    {
        clr(v);
    }
}
 
void ma1n (/* SABR */)
{
    cin >> n;
    nv = n;
    rec ();
    dfs ();
    cout << ans;
}
 
signed main()
{
    ios::sync_with_stdio(false);
    cin.tie(0); cout.tie(0);
//  freopen("file.in", "r", stdin);
//  freopen("file.out", "w", stdout);
    int ttt = 1;
//  cin >> ttt;
    for (int test = 1; test <= ttt; ++test)
    {
//      cout << "Case " << test << ":" << '\n';
        ma1n();
    }
    return 0;
}
 
// 998batrr | BbIWEJI 3A TObOU!!!
// tourist  | BbIWEJI 3A TObOU!!!

Subtask #1
9.0 / 9.0

#	Verdict	Memory	Grader output
1	Correct	340 KB	Output is correct
2	Correct	340 KB	Output is correct
3	Correct	340 KB	Output is correct
4	Correct	340 KB	Output is correct
5	Correct	340 KB	Output is correct

Subtask #2
9.0 / 9.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	0 ms	340 KB	Output is correct
2	Correct	1 ms	340 KB	Output is correct
3	Correct	0 ms	340 KB	Output is correct
4	Correct	0 ms	340 KB	Output is correct

Subtask #3
9.0 / 9.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	340 KB	Output is correct
2	Correct	1 ms	340 KB	Output is correct
3	Correct	1 ms	340 KB	Output is correct
4	Correct	1 ms	340 KB	Output is correct

Subtask #4
9.0 / 9.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	2 ms	596 KB	Output is correct
2	Correct	2 ms	468 KB	Output is correct
3	Correct	1 ms	596 KB	Output is correct
4	Correct	1 ms	596 KB	Output is correct

Subtask #5
9.0 / 9.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	1236 KB	Output is correct
2	Correct	6 ms	724 KB	Output is correct
3	Correct	18 ms	1308 KB	Output is correct
4	Correct	5 ms	1140 KB	Output is correct

Subtask #6
9.0 / 9.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	26 ms	1876 KB	Output is correct
2	Correct	17 ms	2772 KB	Output is correct
3	Correct	18 ms	3564 KB	Output is correct
4	Correct	18 ms	3556 KB	Output is correct

Subtask #7
9.0 / 9.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	26 ms	6684 KB	Output is correct
2	Correct	23 ms	5076 KB	Output is correct
3	Correct	31 ms	3924 KB	Output is correct
4	Correct	23 ms	3428 KB	Output is correct

Subtask #8
9.0 / 9.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	34 ms	4268 KB	Output is correct
2	Correct	32 ms	5004 KB	Output is correct
3	Correct	31 ms	6964 KB	Output is correct
4	Correct	29 ms	6796 KB	Output is correct

Subtask #9
9.0 / 9.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	108 ms	7756 KB	Output is correct
2	Correct	70 ms	6800 KB	Output is correct
3	Correct	54 ms	7000 KB	Output is correct
4	Correct	68 ms	6572 KB	Output is correct
5	Correct	123 ms	5664 KB	Output is correct

Subtask #10
9.0 / 9.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	58 ms	7124 KB	Output is correct
2	Correct	63 ms	10528 KB	Output is correct
3	Correct	74 ms	9068 KB	Output is correct
4	Correct	51 ms	11084 KB	Output is correct
5	Correct	141 ms	6408 KB	Output is correct

Subtask #11
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	67 ms	7124 KB	Output is correct
2	Correct	56 ms	7772 KB	Output is correct
3	Correct	99 ms	6604 KB	Output is correct
4	Correct	78 ms	7160 KB	Output is correct
5	Correct	51 ms	11272 KB	Output is correct
6	Correct	136 ms	6568 KB	Output is correct

Submission #766444

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